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Finding the Fourth Proportional to 67.96, 101.89 and 29.41

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Solution

The fourth proportional to 67.96, 101.89 and 29.41 is: 44.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.96 : 101.89 = 29.41 : x
  2. Step 2: Convert to fraction form
    67.96/101.89 = 29.41/x
  3. Step 3: Cross multiply
    67.96x = 101.89 × 29.41
  4. Step 4: Simplify right side
    67.96x = 2,996.58
  5. Step 5: Solve for x
    x = 2,996.58/67.96
  6. Step 6: Final answer
    x = 44.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.